Help me find the lateral and the surface area I have to round to the nearest tenths if necessary

Answer: Your answer is c

Step-by-step explanation:  The first thing you can do is add the two equations together to cancel out x

5x-2y=3

-5x+4y=9

added them together will get us 2y=12, from here divide 2 and get y=6

Plug 6 into the first equation and solve for x.

5x-2(6)=3

5x-12=3, add 13 to the other side

5x=15, divide 5 and get the answer

x=3

To calculate the total amount Emilee will pay back under a finance agreement, one needs to know the specifics of the loan. Joanna's example, with a known interest rate and term, shows how to use the present value of an annuity formula to find out the maximum loan and total amount paid over time.

The question pertains to calculating the total amount that Emilee will pay back under a finance agreement for her purchase. To determine this amount, one must know the principal amount of the loan, the interest rate, and the term of the loan.

For instance, if Joanna can afford to pay $12,000 a year for a house loan at an annual interest rate of 4.2% for 30 years, one can use the formula for the present value of an annuity to calculate the maximum loan she can afford. The formula is PV = PMT [1 - (1 + i)^(-n)] / i, where PV is the present value (the maximum loan), PMT is the annual payment ($12,000), i is the interest rate per period (4.2% annually), and n is the number of periods (30 years).

By applying this formula, Joanna can afford a maximum loan of approximately $202,556.98. Over 30 years, she will end up paying $12,000 times 30, which equals $360,000 in total. Similarly, to determine the total amount Emilee will repay, the same types of calculations would apply based on the terms of her finance agreement.

Answer: $1308

Step-by-step explanation: APEX

12 monthly payments of $109 = $1308

y2-y1/x2-x1

Y(subscript 2) - Y(subscript 1) / X(subscript 2) - X(subscript 1)

The formula for slope is the difference in y-values divided by the difference in x-values. the slope of a line is its steepness or its rate of change. There are 4 types of slopes positive, negative, zero, and undefined.

Answer: 200+40x=600

Step-by-step explanation:

200+40x=600

600-200=400

40x=400

40/40= 1 or x

400/ 40=10

x=10

Answer:

b

Step-by-step explanation:

becuase 10p which it states in the equation the 10 dollars per person and plus 50 base and 2.5 is not in the equation

Answer:

B. 6.

Step-by-step explanation:

We have been given graph of a function. We are asked to find the average rate of change of our given function for the interval from [tex]x=-4[/tex] to  [tex]x=-2[/tex].

We will use formula [tex]\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}[/tex] to solve our given problem.

[tex]\text{Average rate of change}=\frac{f(-2)-f(-4)}{-2--4}[/tex]

[tex]\text{Average rate of change}=\frac{6--6}{-2+4}[/tex]

[tex]\text{Average rate of change}=\frac{6+6}{2}[/tex]

[tex]\text{Average rate of change}=\frac{12}{2}[/tex]

[tex]\text{Average rate of change}=6[/tex]

Therefore, the average rate of change for our given function on given interval would be 6 and option B is the correct choice.

Answer:

6

Step-by-step explanation:

just took on A P E X

Answer:

Step-by-step explanation:

The slope-intercept form:

y = mx  + b

m - slope

b - y-intercept (0, b)

We have (0, 2) → b = 2 and m = -1/2. Substitute:

y = -1/2x + 2            multiply both sides by 2

2y = -x + 4             add x to both sides

x + 2y = 4

Analyzing the given function F(x), we can predict that it is a quartic function with various possible shapes and intersection points with the x-axis. However, a comparison or correlation to function G(x) cannot be accurately made without additional information about graph G(x).

Given the function F(x)=x^4-3x^2-1 and the unspecified G(x) graph, it's difficult to make an accurate statement without observing the shape, slope, and specific points on the G(x) graph. However, by understanding the given function F(x), we can still provide some insights. The function F(x) here is a quartic function (as the largest exponent is 4). The graph of a quartic function can have various shapes - it may have zero, one or two extreme points, and it may pass through the x-axis at zero, two or four points. It is essential to look at two-dimensional graphing to properly analyze and correlate F(x) and G(x).

https://brainly.com/question/40116062

#SPJ12

Answer:

Ellen invested $60 and Bob invested $140

Step-by-step explanation:

let the two amounts invested by 3x and 7x

(notice 3x : 7x = 3 : 7 )

then 3x + 7x = 200

10x = 200

x = 20

then 3x = 3(20) = 60

and 7x = 7(20) = 140

60+140=200

Ellen invested $60, and Bob invested $140 in their business.

The student's question involves determining how much each business partner invested in their business based on a given ratio and total investment amount. Ellen and Bob invested money at a ratio of 3 to 7 with a total of $200 invested. To solve this, we need to find out what each 'part' of the ratio is worth in dollars.

Let's consider the total number of parts in the ratio, which is 3 (for Ellen) + 7 (for Bob) = 10 parts in total. Since the total amount invested is $200, each part of the ratio is worth $200 divided by 10, which is $20. Therefore:

Hence, Ellen invested $60, and Bob invested $140 in their business.

Answer:

f(x) =  3(x + 2)(x - 1)(x + 3)

Step-by-step explanation:

A logical first step would be to factor 3 out of all four terms:

f(x) = 3x^3+12x^2+3x-18 = 3(x^3 + 4x^2 + x - 6)

Roots of this x^3 + 4x^2 + x - 6 could be factors of 6:  {±1, ±2, ±3, ±6}.

I would use synthetic division here to determine which, if any, of these possibilities are actually roots of x^3 + 4x^2 + x - 6.  Let's try x = 1 and see whether the remainder of this synth. div. is 0, which would indicate that 1 is indeed a root of x^3 + 4x^2 + x - 6:

1    /    1    4    1    -6

                1    5    6

    ------------------------

          1     5    6    0

Yes, 1 is a root of x^3 + 4x^2 + x - 6, and so (x - 1) is a factor of x^3 + 4x^2 + x - 6.

Look at the coefficients of the quotient, which are   1, 5 and 6.

This represents the quadratic 1x² + 5x + 6, whose factors are (x + 2) and

(x + 3).

Thus, the given polynomial in factored form is:

f(x) = 3x^3+12x^2+3x-18 = 3(x + 2)(x - 1)(x + 3)

Answer:

3(x + 2)(x - 1)(x + 3)

Step-by-step explanation:

apex

the answer to this question is C

y=2x+6×

where is the picture for the problem?

Answer: here’s the possibile picture and answer

Step-by-step explanation:

(C & D)

Answer:

275 miles

Step-by-step explanation:

3.5 cm = 175 and 2 more centimeters past that is 100 so 175 +100=275

so your answer is a 275 miles

Answer:

39

Step-by-step explanation:

Answer:

4% of 975 is 39

Step-by-step explanation:

4% of 975 = 0.04 x 975 = 39

Answer

4% of 975 is 39

Answer:

The pepperoni and peppers are mixed up

Step-by-step explanation:

Answer:

The mistake my friend made was that pepperoni and peppers are mixed up, pepperoni is suppose to be 20% while peppers is supposed to be 14%

Step-by-step explanation:

Given that 4000 students

Pepperoni = 800

Sausage = 1,000

Mushrooms = 1,200

Peppers = 560

Onions = 240

Other = 200

To find the degree of each on the circle graph, we have:

Pepperoni = 800/4,000 * 100 = 20%

Sausage = 1,000/4,000 * 100 = 25%

Mushrooms = 1,200/4,000 * 100 = 30%

Peppers = 560/4,000 * 100 = 14%

Onions = 240/4,000 * 100 = 6%

Other = 200/4,000 * 100 = 5%

The mistake my friend made is that pepperoni and peppers are mixed up, pepperoni is suppose to be 20% while peppers is supposed to be 14%

ANSWER

Focus:

[tex](- \frac{1}{4} ,0)[/tex]

Directrix:

[tex]x=\frac{1}{4} [/tex]

EXPLANATION

The given parabola has equation:

[tex] {y}^{2} = - x[/tex]

We compare this to the general equation,

[tex] {y}^{2} = - 4px[/tex]

Comparing the coefficient of x, we have:

-4p=-1

[tex]p = \frac{1}{4} [/tex]

The focus is (-p,0)

[tex](- \frac{1}{4} ,0)[/tex]

The equation of the directrix is

x=p

[tex]x = \frac{1}{4} [/tex]

Answer:

A

Step-by-step ex

only if youre lazy like me to read it, its A

The width of the garden would be found by dividing the area by the length.

Width = 324 / 24 = 13.5 feet.

Now you need to find the total perimeter of the garden:

Perimeter = 2 x length + 2 x width

Perimeter = 2 x 24 + 2 x 13.5

Perimeter = 48 + 27

Perimeter = 75 feet.

He will need 75 feet of fence.

Answer:

75 feet of fence

Step-by-step explanation:

324/24=13.5

13.5+13.5+24+24=75

Answer:

(4,-2)

Step-by-step explanation:

plug in and simplify;

y+2=-3(x-4)

-2+2=-3(x-4)

0=-3x+12

3x=12

x=4

The missing value in the solution of the equation is ( 4 , -2)

An equation is a mathematical statement that consists of two algebraic expression equated by an equal sign.

The given equation is

y +2 = -3 (x-4)

The value of x at y = -2 ,

Substituting the value of y in the equation

-2 + 2 = -3 ( x -4)

0 = -3x +12

-12 = -3x

x = 4

The value of x is 4

Therefore the missing value in the solution of the equation is ( 4 , -2)

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

Answer:

Arcsin(1/5) = 0.20

Arcsin(-0.34) = -0.35

Arcsin(0.6) = 0.64

Step-by-step explanation:

Using a calculator we can find the value of each expression:

Arcsin(1/5) = 0.20135792079, rounding to the nearest hundredth we have that: Arcsin(1/5) = 0.20.

Arcsin(-0.34) = -0.346916897527, rounding to the nearest hundredth we have that: Arcsin(-0.34) = -0.35

Arcsin(0.6) = 0.643501108793, rounding to the nearest hundredth we have that: Arcsin(0.6) = 0.64

We found the arc-sin (or inverse sine) of three different values using a calculator, rounding to the nearest hundredth decimal place: Arcsin(1/5) is approximately 0.20, Arcsin(-0.34) is -0.34, and Arcsin(0.6) is about 0.64.

The student asked to find the arc-sine (inverse sine) of three values and round the answers to the nearest hundredth. You use your calculator to find these values:

Note: Arcsine is a trigonometric function which checks the angle whose sine is a given number.

https://brainly.com/question/34758859

#SPJ11

Answer:

-9/2 , 3/2

Step-by-step explanation:

The coordinates of the midpoint of the line segment that has endpoints (-3,4) and (-6,-1) are (-4.5, 1.5).

Suppose we've two endpoints of a line segment as A(p,q), and B(m,n), then let the midpoint be M(x,y) on that line segment. Then, its coordinates are x =(p+m)/2 and y = (q+n)/2.

Given the endpoints of the line segment are A(-3,4) and B(-6,-1), then the coordinates of the midpoint will be,

x = (-3-6)/2 = -9/2 = -4.5

y = (4-1)/2 = 3/2 = 1.5

Hence, the coordinates of the midpoint of the line segment that has endpoints (-3,4) and (-6,-1) are (-4.5, 1.5).

Learn more about Midpoint:

https://brainly.com/question/5127660

#SPJ2

Answer:

slope = - 6

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 15 = - 6(x + 7) ← is in point- slope form

with slope m = - 6

The slope of the line that is represented by the equation y-15=-6(x+7) is -6.

The given equation is y-15=-6(x+7).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The standard form of the slope intercept form is y=mx+c.

Where, m=slope and c=y-intercept

Here, y-15=-6(x+7) can be written as y-15=-6x-42

⇒ y=-6x-42+15

⇒ y=-6x-27

So, slope of an equation is -6.

Therefore, the slope of the line that is represented by the equation y-15=-6(x+7) is -6.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

Answer: 10x+13x+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x^2 + 3x^2 = 10x^2

-2x + 15x = 13x

9 - 4 = 5

Put these together. Don't do any more than putting them together in a string.

Answer: 10x^2 + 13x + 5

[tex]\bf ~~~~~~~~~~~~\textit{function transformations} \\\\\\ f(x)=Asin(Bx+C)+D \qquad \qquad f(x)=Acos(Bx+C)+D \\\\ f(x)=Atan(Bx+C)+D \qquad \qquad f(x)=Asec(Bx+C)+D \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks}\\ ~~~~~~\textit{horizontally by amplitude } A\cdot B\\\\ \bullet \textit{ flips it upside-down if }A\textit{ is negative}[/tex]

[tex]\bf ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{C}{B}\\ ~~~~~~if\ \frac{C}{B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{C}{B}\textit{ is positive, to the left}[/tex]

[tex]\bf \bullet \textit{vertical shift by }D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{function period or frequency}\\ ~~~~~~\frac{2\pi }{B}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ ~~~~~~\frac{\pi }{B}\ for\ tan(\theta),\ cot(\theta)[/tex]

with that template in mind, let's see.

[tex]\bf \stackrel{A = 2}{g(x) = 2cos(Bx+C)}\qquad \begin{cases} \stackrel{\textit{period of 30 seconds}}{\cfrac{2\pi }{B}=30}\\\\ \cfrac{2\pi }{30}=B\\\\ \cfrac{\pi }{15}=B \end{cases}\implies g(x)=2cos\left( \frac{\pi }{15}x+C \right)[/tex]

now, since the period is 30, and cos(x) starts off at 1, recall cos(0) = 1, so then le'ts move the starting point over by simply doing a horizontal shift to the right by a quarter of the period, 30/4 = 15/2 units, that way the initial "hump" starts off at 0.

[tex]\bf \stackrel{\textit{horizontal shift of }\frac{15}{2}}{\cfrac{15}{2}=\cfrac{C}{B}}\implies \cfrac{15}{2}=\cfrac{C}{~~\frac{\pi }{15}~~}\implies \cfrac{15}{2}=\cfrac{15C}{\pi }\implies 15\pi =30C \\\\\\ \cfrac{15\pi }{30}=C\implies \cfrac{\pi }{2}=C~\hfill \stackrel{\textit{horizontally to the right}}{-\cfrac{\pi }{2}=C} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill g(x)=2cos\left(\frac{\pi }{15}x-\frac{\pi }{2} \right)~\hfill[/tex]

Check the picture below.

Answer:

Sydney can she make 8 scarves

Step-by-step explanation:

Remember that

1 m=100 cm

so

6 m=6*100=600 cm

using proportion

70/1=600/x

x=600/70

x=8.6 scarves

therefore

Round down

Sydney can she make 8 scarves

Answer:

.6 meters

Step-by-step explanation:

We need to take the total length and divide it by 4, since that is the number of rods we want and they are all the same length

2.4/4 =.6 meters

Each rod will be .6 meters long

ANSWER

B. 81

EXPLANATION

The given expression is:

[tex] {3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} } [/tex]

Recall that:

[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

We simplify the expression using the properties of exponents to obtain:

[tex]{3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} } = {3}^{ \frac{11}{5} - - \frac{9}{5} } [/tex]

We simplify the exponents to get;

[tex]{3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} } = {3}^{ \frac{11 + 9}{5}} [/tex]

[tex]{3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} } = {3}^{ \frac{20}{5}} [/tex]

[tex]{3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} } = {3}^{4} [/tex]

[tex]{3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} } = 81[/tex]

The correct answer is B. 81

ANSWER

[tex]211.2 {in}^{2} [/tex]

EXPLANATION

The surface area of a triangular prism is

equal to the area of two triangular faces

plus the area of the three rectangular faces.

The area of the equilateral triangle is calculated using the formula:

[tex] = 2 \times \frac{ \sqrt{3} }{4} {s}^{2} + 3 \times \: bh[/tex]

where s=6 is the length of one side.

and b=6 is the breadth of the rectangle and h=10 is the height of the rectangle.

Surface area

[tex]= 2 \times \frac{ \sqrt{3} }{4} \times {6}^{2} + 3 \times \: 6 \times 10[/tex]

[tex]= 18\sqrt{3} + 180[/tex]

=211.2square inches.

Answer:

32768^1

Step-by-step explanation:

Solved the equation and added the first power.

[tex]

\sum_{3}^{6}2=\sum_{0}^{3}2=2+2+2=\boxed{6}

[/tex]

Or did you mean:

[tex]

6\times\sum{3i}=6\times\sum{6}=6\times6=\boxed{36}[/tex]

Answer:

The age of youngest friend = 14 years

Step-by-step explanation:

It is given that, four friends were born on consecutive years the sum of their ages is 62

Let 'x' be the age of youngest friend

age of other friends are (x + 1), (x + 2) and (x + 3)

To find the age of youngest friend

From the given information we can write,

x +  (x + 1) + (x + 2) + (x + 3) = 62

4x + 6 = 62

4x = 62 - 6 = 56

x = 56/4 = 14

Therefore age of youngest friend = 14